When you estimate a population proportion by sample, quadrupling the sample size:
A) doubles the margin of error.
B) halves the margin of error.
C) multiplies the margin of error by four.
D) divides the margin of error by four.

Question

Quizplus · Accepted Answer

The margin of error is inversely proportional to the square root of the sample size. So quadrupling the sample size would result in √4 times increase in sample size, which is twice. Therefore, the margin of error would be halved.

When You Estimate a Population Proportion by Sample, Quadrupling the Sample